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Finding the Third Proportional to 98,184 and 151,104

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Solution

The third proportional to 98,184 and 151,104 is: 232,547.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,184 : 151,104 = 151,104 : x
  2. Step 2: Convert to fraction form
    98,184/151,104 = 151,104/x
  3. Step 3: Cross multiply
    98,184x = 151,104 × 151,104
  4. Step 4: Simplify right side
    98,184x = 22,832,418,816
  5. Step 5: Solve for x
    x = 22,832,418,816/98,184
  6. Step 6: Final answer
    x = 232,547.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.